The number 40065
40065 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 2671. Divisors (8): 1, 3, 5, 15, 2671, 8013, 13355, 40065.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40065: a Harshad number: divisible by its digit sum 15.
- 2
40065 is composite. Its prime factorisation is
- 3
The divisors add up to 64128; without 40065 itself that is 24063, so 40065 is deficient (24063 is less than 40065). Euler's totient φ(40065) = 21360 numbers up to 40065 share no factor with it.
- 4
The digits of 40065 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40065 = 3 \times 5 \times 2671 \]
40065 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64128 |
| Euler totient φ(n) | 21360 |
| Square | 1605204225 |
| Cube | 64312507274625 |
| Square root | 200.162434 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0065 × |
40065 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and sixty-five |
| Binary (base 2) | 1001110010000001 |
| Octal (base 8) | 116201 |
| Hexadecimal (base 16) | 9C81 |
| Base 3 | 2000221220 |
| As time | 40065 seconds = 11 h 7 min 45 s |
Is 40065 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40065 ÷ 3 = 13355) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40065 ÷ 5 = 8013) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40065 a prime number?
No. 40065 = 3 × 5 × 2671, so it is divisible by 3.
What are the factors of 40065?
1, 3, 5, 15, 2671, 8013, 13355, 40065.
What is 40065 in binary?
1001110010000001 (hexadecimal 9C81, octal 116201).
What is the square root of 40065?
About 200.1624.
Is 40065 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40065?
40065 is a Harshad number: divisible by its digit sum 15.